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Finding the Third Proportional to 26,507.25 and 55,566

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Solution

The third proportional to 26,507.25 and 55,566 is: 116,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.25 : 55,566 = 55,566 : x
  2. Step 2: Convert to fraction form
    26,507.25/55,566 = 55,566/x
  3. Step 3: Cross multiply
    26,507.25x = 55,566 × 55,566
  4. Step 4: Simplify right side
    26,507.25x = 3,087,580,356
  5. Step 5: Solve for x
    x = 3,087,580,356/26,507.25
  6. Step 6: Final answer
    x = 116,480.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.